# Write the negation of the following. x + 8 > 11 or y – 3 = 6 - Mathematics and Statistics

Sum

Write the negation of the following.

x + 8 > 11 or y – 3 = 6

#### Solution

Let p: x + 8 > 11,
q: y − 3 = 6
Then the symbolic form of the given statement is p∨q.
Since ∼ (p v q) ≡ ∼ p ∧ ∼ q, the negation of the given statement is:
x + 8 ≯  11 and y − 3 ≠ 6.
OR
x + 8 ≤ 11 and y − 3 ≠ 6.

Concept: Negations of Compound Statements
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